Summary
The influence of transverse cracks on the coupled torsional and bending vibrations of a rotor is presented in this study. A fragment of the shaft of constant cross-section with a crack is modelled by means of a beam finite element. A procedure to calculate the stiffness coefficients in cross-sections weakned by cracks is given. The crack is considered to be open. The stiffness matrix for the above mentioned element is given. The method is illustrated by an example.
Übersicht
Der Einfluß von transversalen Rissen auf die gekoppelte Dreh- und Biegeschwingungen eines Rotors wird vorgestellt. Der Abschnitt einer Welle von konstantem Querschnitt mit Riß wird mit Hilfe der Finite-Element-Methode modelliert. Ein Rechenverfahren zur Bestimmung der Torsions- und Biegesteifigkeitskoeffizienten in durch den Riß geschwächten Querschnitten wird angegeben. Dabei wird der Spalt als offen betrachtet. Eine Steifigkeitsmatrix für das erwähnte Element wird aufgestellt. Die Methode wird mit einem Beispiel veranschaulicht.
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References
Wauer, J.: On the dynamics of cracked rotors: A literature survey. Appl. Mech. Rev. 43 (1990) 13–17
Papadopoulos, C. A.; Dimarogonas, A. D.: Coupling bending and torsional vibration of a cracked Timoshenko shaft. Ing. Arch. 57 (1987) 257–266
Papadopoulos, C. A.; Dimarogonas, A. D.: Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. J. Sound Vibration 117 (1987) 81–93
Wauer, J.: Modelling and formulation of equations of motion for cracked rotating shafts. J. Solids Structures 26 (1990) 901–914
Collins, K. R.; Plaut, R. H.; Wauer, J.: Detection of cracks in rotating Timoshenko shaft using axial impulses. Trans. ASME, J. Vibration Acoustics 113 (1991) 74–78
Przemieniecki, J. S.: Theory of matrix structural analysis. New York: McGraw-Hill 1968
Dimarogonas, A. D.; Paipetis, S. A.: Analytical methods in rotor dynamics. London: Applied Science Publishers 1983
Zienkiewicz, O. C.: The finite element method in engineering science. London: McGraw-Hill 1971
Firoozian, R.; Stanway, R.: Design and application of a finite element package for modelling turbomachinery vibrations. J. Sound Vibration 134 (1989) 115–137
Haisty, B. S.; Springer, W. T.: A general beam element for use in damage assessment of complex structures. Trans. ASME, J. Vibration, Acoustic, Stress and Reliability in Design 110 (1988) 389–394
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Ostachowicz, W.M., Krawczuk, M. Coupled torsional and bending vibrations of a rotor with an open crack. Arch. Appl. Mech. 62, 191–201 (1992). https://doi.org/10.1007/BF00787959
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DOI: https://doi.org/10.1007/BF00787959